NEW TYPES OF LONG-WAVE OSCILLATORY MARANGONI INSTABILITIES IN MULTILAYER SYSTEMS

Authors
NEPOMNYASHCHY AA SIMANOVSKII IB
Citation
Aa. Nepomnyashchy et Ib. Simanovskii, NEW TYPES OF LONG-WAVE OSCILLATORY MARANGONI INSTABILITIES IN MULTILAYER SYSTEMS, Quarterly Journal of Mechanics and Applied Mathematics, 50, 1997, pp. 149-163
Citations number
25
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Mechanics,Mathematics
Journal title
Quarterly Journal of Mechanics and Applied Mathematics → ACNP
ISSN journal
00335614
Volume
50
Year of publication
1997
Part
1
Pages
149 - 163
Database
ISI
SICI code
0033-5614(1997)50:<149:NTOLOM>2.0.ZU;2-R
Abstract
The onset of Marangoni-Benard convection for a three-layer system is c onsidered in the long-wave limit. Different kinds of instabilities pro duced by deformations of the interfaces are analysed. A new mechanism of oscillatory instability essentially connected with the interaction of both interfaces is found. Peculiarities of this type of oscillation are the finite value of the critical Marangoni number in the long-wav e limit and the quadratic dependence of the frequency on the wave numb er.